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Finding the Third Proportional to 78,867.38 and 172,009.13

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Solution

The third proportional to 78,867.38 and 172,009.13 is: 375,150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,867.38 : 172,009.13 = 172,009.13 : x
  2. Step 2: Convert to fraction form
    78,867.38/172,009.13 = 172,009.13/x
  3. Step 3: Cross multiply
    78,867.38x = 172,009.13 × 172,009.13
  4. Step 4: Simplify right side
    78,867.38x = 29,587,139,083.27
  5. Step 5: Solve for x
    x = 29,587,139,083.27/78,867.38
  6. Step 6: Final answer
    x = 375,150.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.